Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

Nonlinear evolution equations with Lévy diffusion.

2012/07/D/ST1/02095

Keywords:

asymptotic behavior of solutions fractional Laplacian self-similar solutions

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_9: Operator algebras and functional analysis

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Wrocławski, Wydział Matematyki i Informatyki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Dominika Pilarczyk 

Number of co-investigators in the project: 1

Call: SONATA 4 - announced on 2012-09-15

Amount awarded: 123 950 PLN

Project start date (Y-m-d): 2013-07-09

Project end date (Y-m-d): 2016-09-08

Project duration:: 38 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. komputer przenośny (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (3)
  1. Asymptotic stability of solutions to quasi-geostrophic equation
    Authors:
    Dominika Pilarczyk
    Academic press:
    The Bulletin of the Belgian Mathematical Society (rok: 2017, tom: 24, strony: 189-198), Wydawca: The Belgian Mathematical Society
    Status:
    Published
  2. Fractional Laplacian with Hardy potential
    Authors:
    Krzysztof Bogdan, Tomasz Grzywny, Tomasz Jakubowski, Dominika Pilarczyk
    Academic press:
    Communications in Partial Differential Equations , Wydawca: TAYLOR & FRANCIS INC
    Status:
    Submitted
  3. Linear evolution equation with fractional Laplacian and singular potential
    Authors:
    Dominika Pilarczyk
    Academic press:
    Houston Journal of Mathematics (rok: 2017, tom: 43, strony: 953-967), Wydawca: University of Houston
    Status:
    Published